3801178080 has 288 divisors, whose sum is σ = 14875660800. Its totient is φ = 865852416.

The previous prime is 3801178061. The next prime is 3801178081. The reversal of 3801178080 is 808711083.

3801178080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801178081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4424691 + ... + 4425549.

It is an arithmetic number, because the mean of its divisors is an integer number (51651600).

Almost surely, 2^3801178080 is an apocalyptic number.

3801178080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437830400).

3801178080 is an abundant number, since it is smaller than the sum of its proper divisors (11074482720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3801178080 is a wasteful number, since it uses less digits than its factorization.

3801178080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 3801178080 is about 61653.6947797940. The cubic root of 3801178080 is about 1560.6519957076.

The spelling of 3801178080 in words is "three billion, eight hundred one million, one hundred seventy-eight thousand, eighty".